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Finding the Fourth Proportional to 367,449.96, 507,041.82 and 206,322.60

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Solution

The fourth proportional to 367,449.96, 507,041.82 and 206,322.60 is: 284,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,449.96 : 507,041.82 = 206,322.60 : x
  2. Step 2: Convert to fraction form
    367,449.96/507,041.82 = 206,322.60/x
  3. Step 3: Cross multiply
    367,449.96x = 507,041.82 × 206,322.60
  4. Step 4: Simplify right side
    367,449.96x = 104,614,186,611.13
  5. Step 5: Solve for x
    x = 104,614,186,611.13/367,449.96
  6. Step 6: Final answer
    x = 284,703.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.